I always no-chill, and I like very hoppy, but not excessively bitter, beers. I pretty much always use my own recipes.
My method is broadly this:
I use a relatively small amount of bittering hops at the start of the boil. Typical would be 10g Warrior (alpha acid around 15) for a 20 litre batch. According to my Beersmith software, this hop addition should add 21.7 bittering units (IBUs) to the beer after a 60min boil. If I adjust the "boil time" in the software to 120mins, this rises to 22.5, and 240 mins gives 22.6. It therefore seems that no-chill should make little difference for these hops.
After the boil, I pop a new bin-bag over the top of my boiler (its an electric Buffalo "tea urn" type), pull it down so that it covers the entire boiler, and leave it for a few hours to cool down to around 80-85°C. Below 80°C, it is generally reckoned that hops will contribute little bitterness to the beer. The bin bag is to reduce the chance of contaminants getting into the beer, although at this stage there should be little danger as 80°C is around pasteurisation temperature. I then add my "flavour" hop addition. I generally use relatively low alpha acid hops here (Wa-iti or Lemondrop would be typical for me). One recipe I like a lot uses 60g Wa-iti and 50g Lemondrop at this stage (for a 20l brew). The bin bag is then replaced, pulled tight around the bottom of the boiler again, and I leave it all to cool down until sometime the following day. It can take a long time to cool depending upon ambient temperature.
My third hop addition is dry hops. I do this after fermentation is very nearly complete. Here, I will use relatively high alpha-acid hops (Mosaic, Citra, Simcoe) as the temperature will be around 20°C, and these should add little or no bitterness at this temperature, even though I'm using a lot of hops (maybe 120g in 20l), but they will add lots of aroma.
This way, I get a beer with loads of hop presence, but as flavour and aroma rather than bitterness. I've also tried using a separate flavour addition. Here, I just let the whole boiler full cool to room temperature, with only the small amount of bittering hops in it. I then draw off a few litres of wort, heat it up on the stove to 85°C and add the flavour hops. Doing it this way, I can gauge the bitterness addition of the flavour hops more accurately. For instance, Beersmith tells me that 60g Wa-iti and 50g Lemondrop steeped for 60mins at 85°C should contribute around 20 IBU to a 20l brew, so my beer should come out at around 42 IBU. Quite bitter, but not hugely so for a hoppy IPA. After the 60min steep, I put the pan in the bath with lots of cold water, so it cools very quickly. I then pour it into the fermenter with the remainder of the wort from the boiler. This method also works well, and should give a more repeatable result, but I usually don't bother with the extra faff.